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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 203 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive numbers is 24. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  3. 3.The sum of two numbers is 67 and their difference is 17. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  6. 6.The sum of two numbers is 184 and their difference is 10. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 87. What is the smaller number?
  8. 8.The sum of two numbers is 23 and their difference is 5. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 54. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 46. What is the smaller number?
  11. 11.The sum of two numbers is 117 and their difference is 45. What is the smaller number?
  12. 12.The sum of two numbers is 171 and their difference is 21. What is the larger number?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of two numbers is 33 and their difference is 7. What is the larger number?
  15. 15.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  16. 16.The sum of two numbers is 54 and their difference is 22. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of two numbers is 53 and their difference is 17. What is the smaller number?
  19. 19.The sum of two numbers is 111 and their difference is 83. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 80. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 30. What is the smaller number?
  22. 22.The sum of two numbers is 18 and their difference is 16. What is the larger number?
  23. 23.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  26. 26.The sum of two numbers is 163 and their difference is 23. What is the larger number?
  27. 27.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 148. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  31. 31.The sum of 3 consecutive numbers is 105. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 90. What is the largest of them?
  33. 33.The sum of two numbers is 35 and their difference is 33. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 55. What is the largest of them?
  36. 36.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  37. 37.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  40. 40.The sum of two numbers is 103 and their difference is 9. What is the larger number?

Answer key

  1. 9
  2. 36
  3. 25
  4. 41
  5. 39
  6. 87
  7. 29
  8. 9
  9. 18
  10. 23
  11. 36
  12. 96
  13. 45
  14. 20
  15. 23
  16. 16
  17. 58
  18. 18
  19. 14
  20. 40
  21. 30
  22. 17
  23. 89
  24. 27
  25. 18
  26. 93
  27. 77
  28. 47
  29. 37
  30. 59
  31. 36
  32. 31
  33. 1
  34. 54
  35. 13
  36. 27
  37. 60
  38. 38
  39. 42
  40. 56

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